What does "simplify" or "reduce" a fraction mean?

It means rewriting the fraction with smaller numbers that still represent the same value, by dividing both numerator and denominator by their GCF.

How do I find the GCF of two numbers?

List all factors of each number and identify the largest shared factor. For larger numbers, the Euclidean algorithm is more efficient.

Yes. Divide by any common factor repeatedly until no common factors remain. This reaches the same answer as dividing by the GCF in one step.

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Name:Date:Class:

1.Simplify

\frac{6}{12}

2.Simplify

\frac{4}{16}

3.Simplify

\frac{18}{12}

4.Simplify

\frac{62}{32}

5.Simplify

\frac{42}{24}

6.Simplify

\frac{12}{14}

7.Simplify

\frac{26}{24}

8.Simplify

\frac{5}{15}

9.Simplify

\frac{54}{33}

10.Simplify

\frac{2}{22}

11.Simplify

\frac{25}{15}

12.Simplify

\frac{50}{26}

13.Simplify

\frac{8}{10}

14.Simplify

\frac{2}{10}

15.Simplify

\frac{66}{34}

16.Simplify

\frac{26}{28}

17.Simplify

\frac{60}{32}

18.Simplify

\frac{20}{12}

19.Simplify

\frac{42}{28}

20.Simplify

\frac{9}{21}

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Problem: Simplify 36/48

Find the GCF of 36 and 48.— Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. GCF = 12.
Divide both numerator and denominator by the GCF.— 36 ÷ 12 = 3 and 48 ÷ 12 = 4.
Write the simplified fraction and verify.— 36/48 = 3/4. GCF of 3 and 4 is 1 — fully simplified.

Answer: 3/4